if a^2 + b^2 + c^2 = 20 and a+b+c = 0 find ab + bc + ca
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Step-by-step explanation:
by using identity:
(a + b + C)^2 = a^2 + b^2 + c^2 + 2 a b + 2 bc + 2 ca
0^2 =20+2(ab+ bc+ ca)
-20/2=(ab+bc+ca)
(ab+bc+ca)=-10
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